Suppose a special interest group in a state is promoting an amendment to the state constitution so that residents can legally consume marijuana for medical and recreational use. They declare that voters in the state are strongly in support of the legalization of marijuana. This declaration is based on data collected in a sample survey. The group used the white pages of telephone directories of the three largest metropolitan areas in the state and randomly selected residential phone numbers to call in each city. They made calls until they had 500 responses per area. The relevant population of interest is:

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

I think it's c. 1/12 Sorry if I am wrong

Answer:

I think its "D" ... Reaaly sorry if i am  wrong..

Step-by-step explanation:

4/ 12 months is y

4/12 = 1/3

2 kids :

1/3 divide by 2

1/3 x 1/2 = 1/6

I am really sorry if i am wrong!

Answer:

B: 1/6

Step-by-step explanation:

edg2020

Answer:

B

Step-by-step explanation:

on edge 2020-2021

Answer: Probability = 0.2

Step-by-step explanation:

Given data:

Mean production time = 32.20 seconds

Standard deviation = 1,05seconds

probability that a full production run will take less than 32 seconds on average to produce

= P(Xbar<32)

= P(Z<-0.8518)

= 0.2

Now , to find the area

Total area of figure = Area of first Triangle + Area of second triangle

The area of the triangle = ( 1/2 ) x Length x Base

Total area of figure = ( 1/2 ) x ( 36 x 15 ) + ( 1/2 ) x ( 15 x 8 )

= ( 1/2 ) x 540 + ( 1/2 ) x 120

= 270 + 60

= 330 inches²

Therefore , the value is 330 inches²

Hence , The area of the figure is 330 inches²

The larger number is obtained as 1.3.

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

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group a because it is not a square

c) Mode: 15 (appears 6 times)

Mean: 15.25

Median: 15

d) Probability of being 13 years old: 2/20 = 0.1 or 10%

e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%

f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%

a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:

13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18

Age Absolute Frequency Relative Frequency Percentual Frequency

13 2 2/16 12.5%

14 2 2/16 12.5%

15 5 5/16 31.25%

16 2 2/16 12.5%

17 3 3/16 18.75%

18 2 2/16 12.5%

b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:

c) To calculate the mode, mean, and median:

Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.

Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:

(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3

Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.

d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):

Probability of 13 years old = 2/20 = 0.1 or 10%

e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):

Probability of 14 or 16 years old = 4/20 = 0.2 or 20%

f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):

Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

The person whose fruit salad will taste more melony is Genesis. The Option B is correct.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

We need to compute the melon percentage to determine whose fruit salad will taste more melony:

1. Ownen mixes 14 cups of melon and 3 cups of apple. The percentage for melon will be:

= 14/(3+14) × 100

= 82.3529411765

= 82.35%

2. Genesis mixes 6 cups of melon and 1 cups of apple. The percentage for melon will be:

= 6/7 × 100

= 85.7142857143

= 85.71%

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Answer:

1/48

And I hope you can get it right or a 100%

Answer:1/48

Step-by-step explanation:

4/3 x 1/64 =4/192=1/48

Answer:

30

Step-by-step explanation:

1500/50=30

There is a moderate negative linear relationship between x and y for the given points.

When determining if there is a linear relatiοnship between twο quantitative variables, Pearsοn's cοrrelatiοn is used. Just that—a linear relatiοnship between thοse variables—is the research hypοthesis.

\(\mathrm{r = (n \Sigma xy - \Sigma x\Sigma y) / \sqrt{(n\Sigma x^2- (\Sigma x)^{2)(n\Sigma y)}^2 - (\Sigma y)^2)}}\)

where n is the number οf pοints, Σxy is the sum οf the prοducts οf x and y cοοrdinates, Σx is the sum οf x cοοrdinates, Σy is the sum οf y cοοrdinates, Σx² is the sum οf squares οf x cοοrdinates, and Σy² is the sum οf squares οf y cοοrdinates.

First, we need tο find these values frοm the given pοints. We can use a table tο οrganize οur calculatiοns:

x y xy x² y²

1 6 6 1 36

2 10 20 4 100

3 4 12 9 16

4 4 16 16 16

6 2 12 36 4

7    

The table continues:

|x ||y ||xy ||x² ||y² | |- |- |- |- |- | 1 6 6 1 36

|| || || || || || || || || ||

The table continues:

|x ||y ||xy ||x² ||y² | |- |- |- |- |- | 1 6 6 1 36

|| || || || ||

The table continues:

|x ||y ||xy ||x² ||y² | |- |- |- |- |- | 1 ||6 ||6 ||1 ||36 | 2 ||10 ||20 ||4 ||100 | 3 ||4 ||12 ||9 ||16 | 4 ||4 ||16 ||16 ||16 | 5||8||40||25||64| 6||2||12||36||4| 7||2||14||49||4|

Now we can add up each column to get:

Σx = 28 Σy = 36 Σxy = 120 Σx² = 140 Σy² = 240

Next, we can plug these values into the formula and simplify. Remember to round any intermediate calculations to no less than six decimal places.

r = (7(120) - (28)(36)) / √[(7(140) - \((28) ^{* * * * * * * * * *} (240) - (36)^ {* * *}\)

r = (840 - 1008) / √[(980 - 784) (1680 - 1296)]

r = (-168) / √[196(384)]

r = (-168) / (√75264)

r = (-168) / (274.343596)

r ≈ (-0.612487)

Finally, we round our answer to three decimal places.

r ≈ -0.612

This means that there is a moderate negative linear relationship between x and y for the given points.

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The value of common ration r is 4.

Given that,

a₁ = 9

a₅ = 2304

We know that,

A geometric sequence  is a sequence in which each term (except from the first term) is multiplied by a fixed amount to obtain the following term.

The following term in the geometric sequence must be obtained by multiplying it by a set term (referred to as the common ratio), and the previous term in the sequence can be obtained by dividing it by the same common ratio.

Since we know that nth term of GP is,

\(a_{n}\) = a₁ \(r^{n-1}\)

Therefore,

a₅ = a₁ \(r^{4}\)  = 2304

⇒  9 x \(r^{4}\)  = 2304

⇒        \(r^{4}\)  = 256

⇒           r = 4

Hence, r = 4

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Answer:

english please

Step-by-step explanation:

Answer:

English plz

Step-by-step explanation:

If the correlation coefficient is 4, the percentage of variation in the dependent variable explained by the estimated regression equation is 16%.

The correlation coefficient is a measure of linear association between two variables, usually denoted by r. A correlation coefficient of 4 indicates a strong positive linear relationship between the two variables.

A correlation coefficient of 4 does not give any indication as to the percentage of variation in the dependent variable explained by the estimated regression equation. To find this percentage, we must use the coefficient of determination, denoted by r2.

The coefficient of determination is the square of the correlation coefficient and can be interpreted as the percentage of the variance in the dependent variable that is explained by the estimated regression equation.

Hence, in this case, r2 would be 16, indicating that the estimated regression equation explains 16% of the variance in the dependent variable.

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Answer:

(x - 3) (x^2 + 1)

Step-by-step explanation:

x^3 - 3x^2+ x - 3

x^2(x - 3)+(x -3)

(x-3) [x^2(x-3)]/(x-3) + (x-3)/x-3)

(X-3) (x^2+1)

how many solutions does the following equation have \( 8u+3(1/3u-6)=9u+2u+12\)

Without even working out anything we can easily tell the answer is \(1\) because the degree of the equation is one.

If you haven't learned this yet let me know and I will post the manual work.

:)

Answer:

  1 solution

Step-by-step explanation:

When put in general form, the coefficient of u is non-zero, so there is 1 solution.

  0 = 9u +2u +12 -(8u +3(1/3u -6))

  0 = 11u +12 -8u -3(1/3u -6)

  0 = 3u +12 -u +18

  0 = 2u +30 . . . general form equation

  0 = u +15

  -15 = u . . . . . one solution

In order to find the 7th of the sequence, first let's find the common ratio of the sequence.

To do so, let's divide one term by the term before:

Now, we can use the following formula to find the 7th term:

For n = 7, we have:

6 large frames

10 small frames

$108 + $40 = $148

big frames + small frames = total frames

Answer:

10 cm

Step-by-step explanation:

\(\boxed{area \: of \: traingle = \frac{1}{2} \times base \times height}\)

Substitute known values into the formula:

41.5= ½ ×8.3 ×height

41.5= 4.15 ×height

height

= 41.5 ÷4.15 (÷4.15 on both sides)

= 10cm

Answer:

10 cm.

Step-by-step explanation:

You will first need the formula for finding the Area of a Triangle:

Area = 1/2(Base x Height)

Next, we need our known measurements to plug into the Equation:

41.5 Sq Cm = 1/2(8.3cm x Height)

After that, multiply the equation by 2

2 x 41.5 = (2 x 1/2) x (8.3cm x Height)

∨

83 sq cm = 8.3 cm x Height

Finally, divide your area by 8.3 cm:

83 / 8.3 = 10cm = Height

So, the answer is Height = 10 cm.

Answer:

Transformations of g(x) = -(x+5)-4:

Answer:

208

Step-by-step explanation:

112+96=208

Answer:

1 : 4

Step-by-step explanation:

Answer: 1555.000 well thats what my brother said it is

Answer:

4

Step-by-step explanation:

The slope of the line through the points is

\(\frac{1-5}{-3-(-2)}=4\)

Parallel lines have the same slope, so the answer is 4.

Answer:

Step-by-step explanation: 3x^2 + 300 = 0

is a monomial expresion.